ACI 318-05 Mathcad in Concrete Structures by Seun Sambath

By Seun Sambath

Development MANAGEMENT
Concept-Develop-Execute-Finish
__________________________________________________________________________________
Seun Sambath, PhD
Concrete Structures
(ACI 318-05)
in Mathcad
Sixth Edition
Phnom Penh 2010
___________________________________________________________________________________
Address: #M41, St.308, Sangkat Tonle Basac, Khan Chamkarmon,
Phnom Penh, Cambodia.
Tel: 012 659 848.

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85 β1     ρ' fy ε u  ε y d ρ  ρcy : compression steel will yield f's = fy ρ  ρcy : compression steel will not yield f's  fy C. Determination of Flexural Strength Given: b  d d t d' As A's f'c fy Find: ϕMn Step 1. max As = ρ b  d Step 2. 1. 2. 85 f'c a β1 f's = Es ε's  fy c Step 3. 783  kN m D. Design of Doubly Reinforced Beam Given: M u b  d d t d' f'c fs Find: As A's Step 1. 85 β1   fy ε u  ε t   ϕ = ϕ εt Step 2. 85 f'c b a M n = As fy   d   2  M u  ϕMn : the beam is singly reinforced M u  ϕMn : the beam is doubly reinforced Step 3.

1. 2. 85 f'c a β1 f's = Es ε's  fy c Step 3. 783  kN m D. Design of Doubly Reinforced Beam Given: M u b  d d t d' f'c fs Find: As A's Step 1. 85 β1   fy ε u  ε t   ϕ = ϕ εt Step 2. 85 f'c b a M n = As fy   d   2  M u  ϕMn : the beam is singly reinforced M u  ϕMn : the beam is doubly reinforced Step 3. 575 cm 2 E. Determination of Tensile Steel Area Given: M u b  d d t d' A's f'c fy Find: As Step 1. 1. 2. 2 Step 2. 575 cm 2 12. 1. 2. 3. 4. Determination of Moment Capacity Given: b w  d b d t h f As f'c fy Find: ϕMn Step 1.

85 f'c  R  As = max ρ ρmin  b  d Step 3. 976  mm 25mm  2   11. Design of Doubly Reinforced Beams ρ  ρmax : the beam is singly reinforced (with tensile reinforcements only) ρ  ρmax : the beam is doubly reinforced (with tensile and compression reinforcements) A. 2) c ε's = ε u  c = d' c  d' c εu ε u  ε's B. 85 β1     ρ' fy ε u  ε y d ρ  ρcy : compression steel will yield f's = fy ρ  ρcy : compression steel will not yield f's  fy C. Determination of Flexural Strength Given: b  d d t d' As A's f'c fy Find: ϕMn Step 1.

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